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The ring's existence has never been proved, but von Einem hinted during an interview in 1989 that he could give names but was afraid to.

Police said the original reward of $500,000 was too small to prompt new leads and are hoping $1m will encourage more people to come forward.

The South Australian Government has said every resource is needed to solve the Family Murders.

State premier, Mike Rann, said: "This crime, this evil that was inflicted on these young people has had a massive adverse impact on the lives of their families and friends ever since.

"It is a scar on our history. Most of us cannot think of crimes worse than the torture and murder perpetrated on these young innocent victims."

The cruelty of the Family murders horrified the country.

Richard Kelvin is believed to have been drugged and tortured for five weeks, while another victim, Mark Langley, 18, had part of his small intestine missing. Several of the other victims died of blood loss after being anally mutilated. The remains of one boy, Peter Stogneff, were found cut into three pieces with a surgical saw.

Von Einem was also charged with murdering Alan Barnes, 17, and Mark Langley but was not convicted.

Adelaide has a long and dark association with serial killings.

During the late 1970s, seven teenage girls were abducted and murdered in and around the city, and in 1999 eight dismembered bodies were found in barrels of acid in a disused bank vault in the nearby town of Snowtown.